Thank you for visiting Your family decides to attend a baseball game During the fifth inning you catch a foul ball The baseball is a sphere with a radius. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The volume of the baseball is approximately 64,281.728 cubic millimeters, calculated using the formula for the volume of a sphere.
To calculate the volume of a sphere, you can use the formula:
[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]
Where:
- [tex]\( V \)[/tex] is the volume of the sphere
- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14159
- [tex]\( r \)[/tex] is the radius of the sphere
Given that the radius of the baseball is [tex]\( r = 36.6 \)[/tex] millimeters, let's plug this into the formula:
[tex]\[ V = \frac{4}{3} \times 3.14159 \times (36.6)^3 \][/tex]
Let's calculate it:
[tex]$\begin{aligned} & V \approx \frac{4}{3} \times 3.14159 \times(36.6)^3 \\ & V \approx \frac{4}{3} \times 3.14159 \times 48,211.296 \\ & V \approx \frac{4}{3} \times 48,211.296 \\ & V \approx 64,281.728\end{aligned}$[/tex]
So, the volume of the baseball is approximately [tex]\( 64,281.728 \)[/tex] cubic millimeters.
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Rewritten by : Jeany
The volume of the baseball is approximately 204,307.52 cubic millimeters, calculated using the formula for a sphere's volume.
To find the volume of a sphere, we can use the formula:
[tex]\[ V = \frac{4}{3} \pi r^3 \][/tex]
Given that the radius [tex](\( r \))[/tex] of the baseball is 36.6 millimeters, we can plug this value into the formula and calculate the volume.
Step 1: Substitute the value of the radius into the formula:
[tex]\[ V = \frac{4}{3} \pi (36.6)^3 \][/tex]
Step 2: Calculate the cube of the radius:
[tex]\[ (36.6)^3 = 36.6 \times 36.6 \times 36.6 \][/tex]
Step 3: Multiply the cube of the radius by [tex]\(\frac{4}{3} \pi \)[/tex] :
[tex]\[ V = \frac{4}{3} \pi \times (36.6)^3 \][/tex]
Step 4: Calculate [tex]\(\frac{4}{3} \pi \)[/tex] :
[tex]\[ \frac{4}{3} \pi \approx 4.18879 \][/tex]
Step 5: Multiply [tex]\(\frac{4}{3} \pi\)[/tex] by the cube of the radius:
[tex]\[ V \approx 4.18879 \times (36.6)^3 \][/tex]
Step 6: Calculate the result:
[tex]\[ V \approx 4.18879 \times (36.6)^3 \][/tex]
[tex]\[ V \approx 4.18879 \times (36.6)^3 \][/tex]
[tex]\[ V \approx 204,307.52 \text{ cubic millimeters} \][/tex]
So, the volume of the baseball is approximately [tex]\(204,307.52 \text{ cubic millimeters}\)[/tex].
